Grayson buys milk and oranges at the store.
• He pays a total of $40.68.
.
• He pays a total of $2.52 for the milk.
• He buys 8 bags of oranges that each cost the same amount.
How much does each bag of oranges cost?

Answer:

Step-by-step explanation:

p(2p-1)-10

Shae's monthly payment will be approximately $114.63.

First we can use the formula for the present value of an annuity:

P = (r * A) / (1 - (1 + r)^(-n))

where

First, we need to convert the annual percentage rate (APR) to a monthly rate, which is done by dividing it by 12:

r = 13.5% / 12 = 0.01125

Next, we can plug in the values and solve for A:

2400 = (0.01125 * A) / (1 - (1 + 0.01125)^(-24))

Simplifying this equation, we get:

A = (0.01125 * 2400) / (1 - (1 + 0.01125)^(-24)) = 114.63

Therefore, Shae's monthly payment will be approximately $114.63.

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Step-by-step explanation:

Using the rules of indices

So we have

And also by the rules of indices

Applying the rules to the above expression we have the final answer as

By using the rules of indices

Applying the rules to the above expression

We have the final answer as

Hope this helps you

Answer:

When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

Answer:

see below

Step-by-step explanation:

log sqrt5  (25) = y

we know that loga (b) = c  can be rewritten as  a^c = b

sqrt(5) ^ y = 25

Rewriting sqrt(5) as 5^1/2  and 25 as  5^2

5^1/2 ^ y = 5^2

we know a^b^c = a^ (b*c)

5 ^ 1/2y = 5^2

1/2y = 2

y = 4

Answer:

10 1/8

Step-by-step explanation:

-2 1/4 * -4 1/2

~Turn into improper fractions

-9/4 * -9/2

~Multiply both numerators and denominators

81/8

~Turn into a mixed number

10 1/8

Best of Luck!

Answer:

10 1/8

Step-by-step explanation:

Answer:

raiz cuadratica de 87 =9.3273790530888

Step-by-step explanation:

Answer:

Xdddddddddddd1 2b2 3 4 4 4

Answer:

31

Step-by-step explanation:

58 - 27 = 31

There are 105 odd numbers with a middle digit of 5 between 40000 and 69999 with no repeating digits.

We must first take into account the limitations of the issue in order to determine this.

∴,

There are three options for the first digit: 4, 5, and 6.

There are five options for the units digit: 1, 3, 5, 7, and 9.

There are seven possible outcomes for the remaining digits: 0, 2, 4, 6, 7, 8, and 9.

According to the multiplication principle, the total number of numbers having the needed qualities is:

3 × 5 × 7 = 105

Thus, there are 105 odd numbers between 40000 and 69999 that have a middle digit of 5 but no repeated digits.

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Answer:

Step-by-step explanation:

Alcohol content of 15% solution:

Volume of 65% solution containing 78 ml of alcohol:

Required water volume to obtain 15% solution:

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.

We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.

Hypothesis testing parameters are

\(Н_0 : \mu = 3 \)

\(H_a : \mu ≠ 3 \)

The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.

Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is

'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median

= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.

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Answer:

1/2

Step-by-step explanation:

Use the slope formula.

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

4-6/5-9 = -2/-4 = 1/2

Answer:

B coordinates: (7, 4)

Step-by-step explanation:

In order to find midpoint, you have to add both x's and divide by 2. Same for the y's. For this question, we'll have to work backwards since the midpoint is already given.

If I add 7 to 3, and divide it by 2, that will give us 5 (midpoint x-coordinate). So the x value of B is 7.

If I add 4 to 8 and divide that by 2, it will give us 6 (midpoint y-coordinate). So the y value of B is 4.

Hope this helps!

Answer:

Jack has a toy poodle names Lucy. He is supposed to feed Lucy 11 ounces of dog food a day. He has s ounces of food in the bag he bought for the month. The amount of dog food left in the bag after feeding Lucy today is represented by s-11.

In this scenario, Calvin could obtain information by informally observing the members of his intended audience. Option d is the correct answer.

Observing people is a method of obtaining information or data, which is known as primary data. It can be in the form of watching, listening, or recording people's behavior, actions, and mannerisms, among other things. This technique may be employed in both quantitative and qualitative research.

Researchers often utilize observation methods to assess the general attitude of the intended audience because this method is discreet, and people tend to behave naturally when they are not aware they are being watched. Therefore, observing the intended audience without informing them is the best option to get the general attitude of the members of his intended audience without asking them directly.

A school-wide survey, reviewing statistical data on the internet, and asking a representative sample are also techniques of obtaining data. But, they are not suitable for this situation. A survey can only be useful if the questions asked are not biased or leading.

Therefore, it may not provide the required information. Reviewing statistical data on the internet is not specific to the intended audience. A representative sample is not specific to the intended audience and may not be representative of their attitudes.

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).

_____________________

Solution:

Exact Form:

\(\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}\)

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

Answer:

This geometric series is convergent:

\( \frac{10}{1 - ( - \frac{1}{5}) } = \frac{10}{ \frac{6}{5} } = 10( \frac{5}{6} ) = \frac{25}{3} = 8 \frac{1}{3} \)

The geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.

To determine if the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent or divergent, we need to examine the common ratio (r) between consecutive terms.

The common ratio (r) can be found by dividing any term by its preceding term.

Let's calculate it:

r = (-2) ÷ 10 = -0.2

r = 0.4 ÷ (-2) = -0.2

r = (-0.08) ÷ 0.4 = -0.2

In this series, the common ratio (r) is -0.2.

For a geometric series to be convergent, the absolute value of the common ratio (|r|) must be less than 1. If |r| ≥ 1, the series is divergent.

In this case, |r| = |-0.2| = 0.2 < 1.

Since the absolute value of the common ratio is less than 1, the geometric series 10 - 2 + 0.4 - 0.08 + ... is convergent.

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Location of the negative make value different from each other that is  5.3/10^4 and -(5.3 * \(10^{4}\))  

According to this rule, if the exponent is negative, we can change the exponent into positive by writing the same value in the denominator and the numerator holds the value 1.

The negative exponent rule is given as:

   5. 3 x 10^-4

=  5.3/10^4                 (1)

-5. 3 x 10^4

-(5.3 * \(10^{4}\))                  (2)

from equation 1 and 2 these two equations are different from each other.

location of the negative make value different from each other that is  5.3/10^4 and -(5.3 * \(10^{4}\))  

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Answer:

y = 3 + 1/2 * x

Step-by-step explanation:

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer:

p > 8

Step-by-step explanation:

p - 2 > 6

Add 2 to each side

p > 8

There are 84 different combinations that can be made when drawing 3 numbers from a set of 9 numbers without replacement.

The Combinations is used to calculate the number of ways you can select a certain number of items from a larger set, without regard to their order. In other words, combinations focus on the selection of items rather than their arrangement.

When drawing 3 numbers from a set of 9 numbers without replacement, the number of different combinations can be calculated using concept of combinations.

The total-number of items (n) =  9, and r is the number of items selected (3 in this case). Using this formula, the number of combinations is:

⁹C₃ = 9!/(3!(9-3)!) = 84,

Therefore, there are 84 different combinations.

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The given question is incomplete, the complete question is

If there is a bag with the numbers 1 to 9 in it and you draw out 3 numbers, without replacing them, how many different combinations can you make?

Where a and b are determined by the value of D.

A parabola is a type of graph, or curve, that is represented by an equation of the form y = ax² + bx + c. The vertex of a parabola is the point where the curve reaches its maximum or minimum point, depending on the direction of the opening of the parabola. In this case, the vertex of the parabola is at (-4,-1).
To find the equation of the parabola, we need to know two more points on the graph. We are given that when the y-value is 0, the x-value is 10-D. We can use this information to find another point on the graph.
When the y-value is 0, we have:
0 = a(10-D)² + b(10-D) + c
Simplifying this equation gives:
0 = 100a - 20aD + aD² + 10b - bD + c
Since the vertex is at (-4,-1), we know that:
-1 = a(-4)² + b(-4) + c
Simplifying this equation gives:
-1 = 16a - 4b + c
We now have two equations with three unknowns (a,b,c). To solve for these variables, we need one more point on the graph. Let's use the point (0,-5) as our third point.
When x = 0, y = -5:
-5 = a(0)² + b(0) + c
Simplifying this equation gives:
-5 = c
We can now substitute this value for c into the other two equations to get:
0 = 100a - 20aD + aD² + 10b - bD - 5
-1 = 16a - 4b - 5
Simplifying these equations gives:
100a - 20aD + aD² + 10b - bD = 5
16a - 4b = 4
We now have two equations with two unknowns (a,b). We can solve for these variables by using substitution or elimination. For example, we can solve for b in the second equation and substitute it into the first equation:
16a - 4b = 4
b = 4a - 1
100a - 20aD + aD² + 10(4a-1) - D(4a-1) = 5
Simplifying this equation gives:
aD² - 20aD - 391a + 391 = 0
We can now use the quadratic formula to solve for D:

D = [20 ± sqrt(20² - 4(a)(391a-391))]/2a
D = [20 ± sqrt(400 - 1564a² + 1564a)]/2a
D = 10 ± sqrt(100 - 391a² + 391a)/a
There are two possible values for D, depending on the value of a. However, since we don't have any information about the sign of a, we cannot determine which value of D is correct. Therefore, the final equation of the parabola is:
y = ax² + bx - 5

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Answer:

2,4

Step-by-step explanation:

add and divide by 2

...........

Answer:

-------------------

Given points P(2, 6) and Q(2, 2).

Find the coordinates of the midpoint M(x, y), using the midpoint equation:

Answer:

D) 16π/3 ft

Step-by-step explanation:

We solve the above question using the Arc length formula when our central angle is in degrees

The formula is given as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

Hence,

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Arc length = 16π/3 ft

Option D is the correct option